We conduct a global, weakly nonlinear analysis of the magnetorotational instability (MRI) in a Taylor-Couette flow. This is a multiscale perturbative treatment of the nonideal, axisymmetric MRI near threshold, subject to realistic radial boundary conditions and cylindrical geometry. We analyze both the standard MRI, initialized by a constant vertical background magnetic field, and the helical M...

This work determines the coded control of a sectional electroelastic engine at elastic–inertial load for nanomechatronics systems. The expressions mechanical and adjustment characteristics are obtained using equations electroelasticity load. A is applied nanodisplacement as digital-to-analog converter. transfer function transient received

Cosmological linear perturbation theory predicts that the peculiar velocity V (x) and the matter overdensity δ(x) at a same point x are statistically independent quantities, as log as the initial density fluctuations are random Gaussian distributed. However nonlinear gravitational effects might change the situation. Using framework of second-order perturbation theory and the Edgeworth expansion...

We consider the steady free surface two-dimensional flow past a semi-infinite flat plate in water of a constant finite depth. The fluid is assumed to be inviscid, incompressible and the flow is irrotational; surface tension at the free surface is neglected. Our concern is with the periodic waves generated downstream of the plate edge. These can be characterized by a depth-based Froude number, F...

A mixed-typed differential inclusion with a weakly continuous nonlinear term and a nonmonotone discontinuous nonlinear multi-valued term is studied, and the existence and decay of solutions are established. 2000 Mathematics Subject Classification. Primary 34G20, 35M10, 35M20.

In this paper, we study with a periodic porous medium equation with nonlinear convection terms and weakly nonlinear sources under Dirichlet boundary conditions. Based on the theory of Leray-Shauder fixed point theorem, we establish the existence of periodic solutions.

This paper presents the Volterra input-output map as an extension of the S-parameters towards weakly nonlinear RF and microwave devices. This ‘VIOMAP’ can be measured and it can be used to predict the behavior of cascaded nonlinear twoports.

Two-dimensional gravity waves travelling under an ice sheet are studied. The flow is assumed to be potential. Weakly nonlinear solutions are derived and fully nonlinear solutions are calculated numerically. Periodic waves and generalized solitary waves are studied.